AUSTIN -- A new Texas poll found that voters approve of Gov. Greg Abbott's job performance by a margin of more than 2 to 1.

The Quinnipiac University poll, released Thursday, also found Texas voters largely agree with Roe v. Wade and back increasing the legal age to smoke, and they don't want businesses to be allowed to refuse service to people based on their sexual orientation.

"Texas voters are not easy to categorize. Even on hot-button matters, they are not necessarily predictable. And, in fact, many might be surprised that the liberal position sometimes predominates," said Peter A. Brown, assistant director of the Quinnipiac University Poll. "Take two of the thorniest social issues of our time: abortion and gay rights. On these issues, Texas voter opinions are noteworthy."

The poll found that 60% of Texans approve of "the way Greg Abbott is handling his job as governor," compared to 28% who disapprove. Republicans overwhelming support the GOP governor with an 85% approval rating. Only 36% of Democrats polled approved of Abbott's job performance, compared to 52% who disapproved.

The poll was taken between May 29 and June 4, so Abbott's positive rating is a likely endorsement by voters of his performance in the legislative session that ended May 27. Abbott was a vocal proponent of a school finance overhaul and caps on property tax growth -- both of which passed.

The poll surveyed 1,159 Texas voters with a margin of error of 3.4 percentage points.

Lawmakers this year also increased the smoking age from 18 to 21 -- legislation several other states have already embraced, with Big Tobacco's blessing. Texas voters supported the increase 63% to 31%.

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As states across the South pass laws to make abortion less accessible, a majority of Texas voters polled said they agree with the U.S. Supreme Court decision Roe v. Wade, which establishes a woman's right to have an abortion. The poll found 57% of Texas voters agree with the decision, while 36% of voters disagree. Only 34% of GOP voters agreed with the decision, while 80% of Democrats support a woman's right to have an abortion.

Several bills were filed in this year's legislative session to restrict abortion in Texas, but only one passed. The bill prevents governments from contracting with organizations that provide abortions, such as Planned Parenthood. Government dollars are already banned from funding abortions, and opponents of the bill say it restricts access to health care for women who lack insurance.

By a margin of 3 to 1, Texas voters polled said they don't believe businesses should "be allowed to refuse service to someone based on their sexual orientation or sexual identity."

When asked, "What if the business says homosexuality violates its owner's religious beliefs?" Texas voters still said by a margin of 58% to 35% that businesses should not be allowed to refuse service.

The Legislature this year passed the "Save Chick-fil-A" bill, and Abbott is expected to sign it. The bill prevents the government from taking adverse action against persons or businesses for their affiliation in a religious organization.

Democrats said they're concerned the bill gives persons and businesses a license to discriminate against LGBTQ people, but advocates said it's merely a religious freedom protection bill.

Rebekah Allen . Rebekah is a Louisiana transplant living in Austin, Texas where she covers state government and the Texas Legislature. Previously, she worked in Baton Rouge for The Advocate as an investigative state government reporter.